12194944070400 has 5184 divisors, whose sum is σ = 62619042124800. Its totient is φ = 2294191226880.

The previous prime is 12194944070377. The next prime is 12194944070411. The reversal of 12194944070400 is 407044949121.

12194944070400 is a `hidden beast` number, since 1 + 2 + 1 + 94 + 94 + 4 + 0 + 70 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 641839161591 + ... + 641839161609.

Almost surely, 2^{12194944070400} is an apocalyptic number.

12194944070400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12194944070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31309521062400).

12194944070400 is an abundant number, since it is smaller than the sum of its proper divisors (50424098054400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12194944070400 is an equidigital number, since it uses as much as digits as its factorization.

12194944070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 12194944070400 in words is "twelve trillion, one hundred ninety-four billion, nine hundred forty-four million, seventy thousand, four hundred".